9th Class Math MCQS Algebraic Manipulation Online Test 1

3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-09th-2-fmath-2-f-09-math-06-013-001-png-22-3-e_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-09th-2-fmath-2-f-09-math-06-013-002-png-22-3-e,3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cleft-5-b-5-c-5-cbegin-7-bmatrix-7-d-3-26-amp-3-b-0-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-5-d-5-c-5-c-29-3-c-2-fspan-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cleft-5-b-5-c-5-cbegin-7-bmatrix-7-d-4-5-c-5-c-5-c-5-c-0-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-5-d-3-d-3-f-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-b-12-5-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-284-x-2-b-3-y-2-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-an-algebraic-3-a-3-c-2-fp-3-e_-_3-cp-3-e-expression-3-c-2-fp-3-e,3-cp-3-e-bisectors-of-of-a-triangle-are-concurrent-3-c-2-fp-3-e_-_3-cp-3-e-angles-3-c-2-fp-3-e,3-cp-3-e-diagonals-of-a-parallelogram-each-other-at-a-point-3-a-3-c-2-fp-3-e_-_3-cp-3-e-intersect-3-c-2-fp-3-e,3-cp-3-e-diagonals-of-a-rectangle-are-3-a-3-c-2-fp-3-e_-_3-cp-3-e-congruent-3-c-2-fp-3-e,3-cp-3-e-distance-between-points-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-280-2-c-5-29-5-c-5-c-29-3-c-2-fspan-3-e-and-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-280-2-c-0-29-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-3-a-3-c-2-fp-3-e_-_3-cp-3-e-5-3-c-2-fp-3-e,3-cp-3-e-find-m-so-that-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-e-2-2-b-4-x-2-bm-5-c-5-c-29-3-c-2-fspan-3-e-is-a-complete-square-3-a-3-c-2-fp-3-e_-_3-cp-3-e-4-3-c-2-fp-3-e,3-cp-3-e-for-any-square-matrix-a-2-c-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-2-ba-5-et-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-3-a-c-2-a-0-3-c-2-fp-3-e_-_3-cp-3-e-symmetric-matrix-3-c-2-fp-3-e,3-cp-3-e-if-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-3-d-5-c-5-cleft-5-b-5-c-5-cbegin-7-bmatrix-7-d-5-cn-27-2-c-27-5-cn-27-2-c-27-a-26-amp-3-b-b-5-c-5-c-5-c-5-c-5-cn-27-2-c-27-5-cn-27-2-c-27-c-26-amp-3-b-d-5-cn-27-2-c-27-5-cn-27-2-c-27-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-5-d-5-c-5-c-29-3-c-2-fspan-3-e-2-c-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-3-d-5-c-5-cleft-5-b-5-c-5-cbegin-7-bmatrix-7-d-5-cn-27-2-c-27-5-cn-27-2-c-27-x-5-c-5-c-5-c-5-c-5-cn-27-2-c-27-5-cn-27-2-c-27-y-5-cn-27-2-c-27-5-cn-27-2-c-27-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-5-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-and-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-b-3-d-5-c-5-cleft-5-b-5-c-5-cbegin-7-bmatrix-7-d-5-cn-27-2-c-27-5-cn-27-2-c-27-m-5-c-5-c-5-c-5-c-5-cn-27-2-c-27-5-cn-27-2-c-27-n-5-cn-27-2-c-27-5-cn-27-2-c-27-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-5-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-then-by-cramer-rule-2-c-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cleft-7-c-a-7-bx-7-d-5-c-5-cright-7-c-3-d-3-f-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cleft-7-c-5-c-5-cbegin-7-bmatrix-7-d-5-cn-27-2-c-27-5-cn-27-2-c-27-m-26-amp-3-b-b-5-c-5-c-5-c-5-c-5-cn-27-2-c-27-5-cn-27-2-c-27-n-26-amp-3-b-d-5-cn-27-2-c-27-5-cn-27-2-c-27-5-c-5-cend-7-bmatrix-7-d-5-c-5-cright-7-c-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-5-ex-3-d-n-5-c-5-c-29-3-c-2-fspan-3-e-then-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-3-dlog-a-n-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-c-3-d-40-5-eo-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-f-will-be-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-40-5-eo-f-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-3-d-2-5-c-5-csqrt-3-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-281-5-c-5-cover-x-5-c-5-c-29-3-c-2-fspan-3-e-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-282-2-b-5-c-5-csqrt-3-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-x-is-no-larger-than-10-2-c-then-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-c-5-cleq-10-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-in-radical-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-csqrt-5-bn-5-d-7-ba-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-27-a-27-is-of-radical-3-a-3-c-2-fp-3-e_-_3-cp-3-e-base-3-c-2-fp-3-e,3-cp-3-e-which-is-possible-factor-of-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-282-x-5-e-3-2-bx-5-e-2-2-x-1-3-d-3-f-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-both-c-26-amp-3-b-b-3-c-2-fp-3-e,h-c-f-of-28-x-3-csup-3-e-2-3-c-2-fsup-3-e-5-x-2-b-6-29-and-28-x-3-csup-3-e-2-3-c-2-fsup-3-e-x-6-29-is_-_x-3,h-c-f-of-5-x-3-csup-3-e-2-3-c-2-fsup-3-ey-3-csup-3-e-2-3-c-2-fsup-3-e-and-20-x-3-csup-3-e-3-3-c-2-fsup-3-ey-3-csup-3-e-3-3-c-2-fsup-3-e-is_-_5-x-3-csup-3-e-2-3-c-2-fsup-3-ey-3-csup-3-e-2-3-c-2-fsup-3-e,h-c-f-of-a-3-csup-3-e-3-3-c-2-fsup-3-e-2-b-b-3-csup-3-e-3-3-c-2-fsup-3-e-and-a-3-csup-3-e-2-3-c-2-fsup-3-e-ab-2-b-b-3-csup-3-e-2-3-c-2-fsup-3-e_-_a-3-csup-3-e-2-3-c-2-fsup-3-e-ab-2-b-b-3-csup-3-e-2-3-c-2-fsup-3-e,h-c-f-of-x-3-csup-3-e-2-3-c-2-fsup-3-e-4-and-2-x-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-x-6-is-3-a_-_28-x-2-b-2-29,l-c-m-of-a-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-b-3-csup-3-e-2-3-c-2-fsup-3-e-and-a-3-csup-3-e-4-3-c-2-fsup-3-e-b-3-csup-3-e-4-3-c-2-fsup-3-e-is_-_a-3-csup-3-e-4-3-c-2-fsup-3-e-b-3-csup-3-e-4-3-c-2-fsup-3-e,the-square-root-of-a-3-csup-3-e-2-3-c-2-fsup-3-e-2-a-2-b-1-is-3-a_-_c-2-b-1-28-a-1-29